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What is the range of the function #y= -x^3 + 3x^2 +5x -1#?

Answer 1

Eli Assouline

The range is #y in (-oo,oo)# because of the properties of end behavior of polynomials .

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Answer 2

Jace Anderson

To find the range of the function ( y = -x^3 + 3x^2 + 5x - 1 ), you can analyze its behavior as ( x ) approaches positive and negative infinity. Since the leading term is ( -x^3 ), as ( x ) goes to positive or negative infinity, ( y ) will also go to positive or negative infinity. Therefore, the range of the function is all real numbers.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.